化简:2sin(π/4+θ)sin(π/4-θ)=?

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化简:2sin(π/4+θ)sin(π/4-θ)=?化简:2sin(π/4+θ)sin(π/4-θ)=?化简:2sin(π/4+θ)sin(π/4-θ)=?sin(π/4-θ)=cos[π/2-(π/

化简:2sin(π/4+θ)sin(π/4-θ)=?
化简:2sin(π/4+θ)sin(π/4-θ)=?

化简:2sin(π/4+θ)sin(π/4-θ)=?
sin(π/4-θ)=cos[π/2-(π/4-θ)]=cos(π/4+θ)
2sin(π/4+θ)sin(π/4-θ)=2sin(π/4+θ)cos(π/4+θ)=sin(π/2+2θ)=cos2θ

2sin(π/4+θ)sin(π/4-θ)=2sin(π/4+θ)sin[π/2-(4+θ)]
=2sin(π/4+θ)cos(π/4+θ)
=sin(π/2+2θ)
=cos2θ